Finding the Fourth Proportional to 9,831.01, 13,565.25 and 5,638.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.01 : 13,565.25 = 5,638.45 : x
2. Step 2: Convert to fraction form
   9,831.01/13,565.25 = 5,638.45/x
3. Step 3: Cross multiply
   9,831.01x = 13,565.25 × 5,638.45
4. Step 4: Simplify right side
   9,831.01x = 76,486,983.86
5. Step 5: Solve for x
   x = 76,486,983.86/9,831.01
6. Step 6: Final answer
   x = 7,780.18